For a regular hexagon (6 sides), by how many degrees is the measure of each interior angle greater than the corresponding exterior angle?

Introduction / Context:In any regular polygon with n sides, each exterior angle measures 360°/n, and each interior angle measures 180° − 360°/n. Their difference is straightforward to compute. Here n = 6 (regular hexagon).

Given Data / Assumptions:

• n = 6.

Concept / Approach:Compute exterior and interior angles explicitly and subtract: interior − exterior.

Step-by-Step Solution:

Verification / Alternative check:The sum of one interior and its exterior is always 180°, so difference = 180° − 2*exterior = 180° − 120° = 60°, same result.

Why Other Options Are Wrong:90°, 100°, 108° do not match the regular hexagon values; 108° is often confused with the interior angle of a regular pentagon.

Common Pitfalls:Using 360°/n for the interior angle by mistake, or mixing n = 5 vs n = 6 values.

Final Answer:60°